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arXiv · 0909.0973

Process-level quenched large deviations for random walk in random environment

Firas Rassoul-Agha·Timo Seppalainen
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Abstract

We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.

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Firas Rassoul-Agha, Timo Seppalainen. 2009-09-04. Process-level quenched large deviations for random walk in random environment. https://doi.org/10.1214/10-aihp369

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